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Simplifying 4v + -40 = 8(v + -9) Reorder the terms: -40 + 4v = 8(v + -9) Reorder the terms: -40 + 4v = 8(-9 + v) -40 + 4v = (-9 * 8 + v * 8) -40 + 4v = (-72 + 8v) Solving -40 + 4v = -72 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -40 + 4v + -8v = -72 + 8v + -8v Combine like terms: 4v + -8v = -4v -40 + -4v = -72 + 8v + -8v Combine like terms: 8v + -8v = 0 -40 + -4v = -72 + 0 -40 + -4v = -72 Add '40' to each side of the equation. -40 + 40 + -4v = -72 + 40 Combine like terms: -40 + 40 = 0 0 + -4v = -72 + 40 -4v = -72 + 40 Combine like terms: -72 + 40 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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